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Finding the Fourth Proportional to 12,864.20, 17,758.64 and 9,678.69

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Solution

The fourth proportional to 12,864.20, 17,758.64 and 9,678.69 is: 13,361.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,864.20 : 17,758.64 = 9,678.69 : x
  2. Step 2: Convert to fraction form
    12,864.20/17,758.64 = 9,678.69/x
  3. Step 3: Cross multiply
    12,864.20x = 17,758.64 × 9,678.69
  4. Step 4: Simplify right side
    12,864.20x = 171,880,395.58
  5. Step 5: Solve for x
    x = 171,880,395.58/12,864.20
  6. Step 6: Final answer
    x = 13,361.15

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.